72838304 has 144 divisors (see below), whose sum is σ = 188225856. Its totient is φ = 27417600.

The previous prime is 72838303. The next prime is 72838307. The reversal of 72838304 is 40383827.

It is a Smith number, since the sum of its digits (35) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (72838301) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 707117 + ... + 707219.

It is an arithmetic number, because the mean of its divisors is an integer number (1307124).

Almost surely, 2^72838304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72838304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94112928).

72838304 is an abundant number, since it is smaller than the sum of its proper divisors (115387552).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

72838304 is a wasteful number, since it uses less digits than its factorization.

72838304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 72838304 is about 8534.5359569223. The cubic root of 72838304 is about 417.6251150713.

The spelling of 72838304 in words is "seventy-two million, eight hundred thirty-eight thousand, three hundred four".